absolute value negative 4 ​

to get the equation of any straight line we simply need two points off of it, hmmm let's use the points in the picture below for "a".

[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{-3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-4)}}}\implies \cfrac{-6}{2+4}\implies \cfrac{-6}{6}\implies -1[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{-1}(x-\stackrel{x_1}{(-4)}) \\\\\\ y-3=-1(x+4)\implies y-3=-x-4\implies y=-x-1[/tex]

Answer:

C) 3^3*x^-3

Step-by-step explanation:

okay, so let's just find the numerator and denominator separately

So 27 is equal to 3^3. Numerator done.

Now for the denominator:

You need to know the laws of indices, specifically the one which says that square root of something is the same as to the power of 1/2, where the 1 signifies the power of the number inside the root and the 2 is for the square root. This means that the cube root would be power of 1/3.

So here cube root of x^9, would be equivalent to x^9/3, which can be simplified to x^3/1 ---> x^3.

This leaves us with 3^3/x^3. However, this isn't an option. We need to simplify the divide part of the expression. We can do that by using another law of indices which states that anything to the power of a negative number is the same as 1 over that number. (For example, x^-5 = 1/x^5) If there are numbers in front of the x, then that number would replace the 1, such as the following example: 9x^-3 = 9/x^3.

In this question, our 3^3/x^3 could be changed using this law to give, 3^3*x^-3

I hope this made sense and was helpful :))

Monthly amount, M = $102×4 = $408.

Also, yearly amount, Y = M×12 = $408×12 = $4896

It is given that 25% of the cost is contributed by Marcus.

Amount Marcus paid

[tex]=\dfrac{\$4896 \times 25 }{100}\\\\= \$1224[/tex]

Therefore, his employer contribution annually for coverage is $( 4896 - 1224)=$3672.

Hence, this is the required solution.

please mark me as brainlest

Answer:

2.8

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.401.2 simplify that and there you go

Answer:

$54

Step-by-step explanation:

If Jaine has $378, the opposite of 7 times would be dividing. So all you have to do is 378/7=54.

Answer:

x = 67°

Step-by-step explanation:

The little square in the corner represents 90° because it is a right-angle.

All angles in a triangle add up to 180°.

90° + 23° = 113°

180° (total) - 113° (whats already there) = 67° (x)

I hope this helps. If you need further explanation, let me know.

- profparis

Answer:

x=5

Step-by-step explanation:

4x-3=2x+7

4x-2x-3=7

4x-2x=7+3

2x=10

2x/2 10/2

x=5

Answer:

x=5

Step-by-step explanation:

So we have to combine like terms

4x-3=2x+7

-2x  -2x

2x-3=7

   +3 +3

And now simplify

2x=10

/2   /2

x=5

Answer:

m<92⁰

Step-by-step explanation:

m<16 = 55⁰

m<20 = 55

55 + 33 =88

the sum of the inside of a triangle is 180⁰ so

180 - 88 =92

Answer:

back 5 miles south west

Step-by-step explanation:

hope this help have a good day.

Answer:

i) True

ii) True

Step-by-step explanation:

Given :-

Point (-1, 2)

To Find :

Whether the point is a solution of :

Solving :-

Substitute the value of the point in each of the equations.

=> y = -2x

=> 2 = -2(-1)

=> 2 = 2 [∴ The point makes it true]

=> y = x + 3

=> 2 = -1 + 3

=> 2 =  2 [∴ The point makes it true]

Answer:

true

Step-by-step explanation:

first, you take the y = -2x and plug that into y = x + 3. so your equation should be -2x = x + 3. you then solve for x which comes out to be -1. you then plug the -1 into y = -2x. your equation should be y = -2(-1). solve for y which equals 2. the point that you got from both equations matches the point from the equation given so it is true.

Answer:

The probability of getting 6 the first time and an even number the second time is 1/12.

what is probability?

probability is the quantification of possibilities in numbers.

(1) probability of rolling a 6 for the first time:

total possible outcomes = (1,2,3,4,5,6) =6

sample space = 1

probability of getting 6 = sample space/total possible outcomes

probability of getting 6 = 1/6

2)probability of getting an even number

total possible outcomes will be (1,2,3,4,5,6)

sample space  =  (2,4,6) ie 3

probability of this = 3/6 = 0.5

total probability = 1/6*0.5 = 1/12

therefore,

The probability of getting 6 the first time and an even number the second time is 1/12.

to get more about probability refer to:

Step-by-step explanation:

Answer:

5x-18

Step-by-step explanation:

18 less than the product of 5 and a number.

The product of 5 and a number is equal to 5x.

You then subtract 18 from the product and you get 5x-18

Answer:

5x-18

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

[tex]\frac{1}{12} +\frac{1}{6} = \frac{2 + 1}{12} = \frac{1}{4}[/tex]

[tex]\frac{1}{4} - \frac{1}{8}=\frac{2-1}{8} = \frac{1}{8}[/tex]

[tex]\frac{2}{3} +\frac{1}{3} = 1[/tex]

[tex]\frac{1}{2} - \frac{1}{6} = \frac{3-1}{6} = \frac{1}{3}[/tex]

Answer:

1/12 + 16 = 1/4

1/4 - 1/8 = 1/8

2/3 + 1/3 = 1

1/2 - 1/6 = 1/3

Step-by-step explanation:

1/12 + 1/6

LCM of denominators 12 and 6 = 12

1/6

Multiply 2 to both numerator and denominator,

1/6 * 2/2

= ( 1*2 )/( 6*2 )

= 2/12

1/12 + 1/6

= 1/12 + 2/12

= ( 1 + 2 )/12

= 3/12

12 = 3*4

3/12

= 3/( 3*4 )

= 1/4

1/4 - 1/8

LCM of denominators 4 and 8 = 8

1/4

Multiply 2 to both numerator and denominator,

1/4 * 2/2

= ( 1*2 )/( 4*2 )

= 2/8

1/4 - 1/8

= 2/8 - 1/8

= ( 2 - 1 )/8

= 1/8

2/3 + 1/3

= ( 2 + 1 )/3

= 3/3

= 1

1/2 - 1/6

LCM of denominators 2 and 6 = 6

1/2

Multiply 3 to both numerator and denominator,

1/2 * 3/3

= ( 1*3 )/( 2*3 )

= 3/6

1/2 - 1/6

= 3/6 - 1/6

= ( 3 - 1 )/6

= 2/6

6 = 2*3

2/6

= 2/( 2*3 )

= 1/3

Answer:

HF, GH, FG largest to smallest

Step-by-step explanation:

HFGHFG

Answer:

A

Step-by-step explanation:

one circle for top of cylinder and one for the bottom

Answer:

34ft squared

Step-by-step explanation:

Since the shaded area is half of the whole rectangle, it would be half of 68. 68/2 = 34, therefore the shaded area is 34ft squared.

Answer:

y=3/4x-3

Step-by-step explanation:

subtract 3x from both sides: -4y=-3x+12

divide by -4: y=3/4x-3

Rewrite 32 as 32/1

1/4 x 32/1

To multiply 2 fractions, we multiply the nominators together, and the denominator together

1/4 x 32 = 1/4 x 32/1 = 1x32/4x1 = 32/4

Simplify as 8.

So, 1/4 x 32 = 8

The resulting expression for the factor of the provided polynomial with the help of grouping method is,

[tex](4x^2-3)(x^2-5)[/tex]

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).

Factor of a polynomial is the terms in linear form, which are when multiplied together, give the original polynomial equation as result.

The given polynomial equation is,

[tex]4x^4 - 20x^2 -3x^2 +15[/tex]

Make the groups of the above equation by taking out, 4x^2 from first two terms and -3 from second equation.

[tex]4x^4 - 20x^2 -3x^2 +15\\4x^2(x^2- 5) -3(x^2 -5)[/tex]

Take out the common group to simplify further.

[tex](x^2-5)(4x^2-3)\\(4x^2-3)(x^2-5)[/tex]

Thus, the resulting expression for the factor of the provided polynomial with the help of grouping method is,

[tex](4x^2-3)(x^2-5)[/tex]

Learn more about polynomial here;

https://brainly.com/question/24380382

Answer:

Step-by-step explanation:

3y=6x+3

solve by substitution for 3y=6x+3

3y=4x+6

6x+3=4x+6

6x-4x=6-3

2x=3

3y=6x+3 ⇒ y=6x/3 + 3/3 ⇒ y=2x+1

y=2x+1 ( substitute x=3/2)

y=2(3/2)+1

y=3+1

Answer:

13 pints I believe

Step-by-step explanation:

6.5 x 2 = 13

Answer:

Step-by-step explanation:

13

Answer:

4y is your answer........

Answer:

x = 3

Step-by-step explanation:

x  + 9 = 12

To solve the equation, we have to isolate 'x'.

To isolate x,  subtract 9 from both sides.

x + 9 - 9 = 12 - 9

x = 3

Answer:

[tex]\boxed{\sf{x=3}}[/tex]

Step-by-step explanation:

The only thing you need to do to solve this problem is to isolate the term x from one side of the equation.

x+9=12

First, subtract by 9 from both sides.

[tex]\sf{x+9-9=12-9}[/tex]

Solve.

[tex]\sf{12-9=3}[/tex]

[tex]\boxed{\sf{x=3}}[/tex]

Therefore, the final answer is x=3.

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

the correct equation to this statement is going to be c

Answer:

polynomial is a an algebraic expression with 2 or more terms

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

[tex] \huge \boxed{\mathfrak{Answer} \downarrow}[/tex]

[tex] \huge \sf \: a {x}^{2} + bx + c[/tex]

Let's set these two numbers as 'a' and 'b'

Now, let's set up equations based on the information known:

Equations

Solve:

  (Equation 1) + (Equation 2)

  2a = 80

     a = 40 -- equation 3

  (Equation 3)

     40 + b = 52

       b = 12

So a  = 40 and b = 12

Hope that helps!

Answer:

The answer is D. The volume of the rectangle = 180 x 1/3 x 1/3 x 1/3 = 180/27=6 + 18/27.

Unit cube = 1 x 1 x 1

Step-by-step explanation:

Hope this helps!

Answer:

-10x (1 - y)

Step-by-step explanation:

Given :-

Side 1 = (2x + 5xy)

Side 2 = (-7x - 10xy)

To Find :-

Perimeter

Formula :-

Perimeter (rectangle) = 2 (Side 1 + Side 2)

Solving :-

Perimeter = 2 (2x + 5xy - 7x - 10xy)

= 2 (-5x - 5xy)

= -10x (1 - y) => [Solution]

Step-by-step explanation:

perimeter: 2 (2x+ 5xy+(-7x-10xy)

= 2(2x+5xy-7x-10xy)

= 4x+10xy-14x-20xy

= -10x-10xy

= -10x(1+y).

Answer: -10x(1+y)